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A199849 Number of -n..n arrays x(0..4) of 5 elements with zero sum and no element more than one greater than the previous. 1
26, 66, 132, 239, 399, 630, 944, 1367, 1913, 2612, 3482, 4557, 5857, 7424, 9278, 11465, 14011, 16966, 20356, 24239, 28643, 33630, 39232, 45515, 52513, 60300, 68910, 78421, 88873, 100348, 112886, 126577, 141463, 157638, 175148, 194091, 214515, 236526 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A199847.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 2*a(n-1) -a(n-3) -2*a(n-5) +2*a(n-6) +a(n-8) -2*a(n-10) +a(n-11) for n>12.

Empirical g.f.: x*(26 + 14*x + x^3 - 13*x^4 + 16*x^5 + 3*x^6 + 10*x^7 - 3*x^8 - 16*x^9 + 7*x^10 + x^11) / ((1 - x)^5*(1 + x)^2*(1 + x^2)*(1 + x + x^2)). - Colin Barker, May 16 2018

EXAMPLE

Some solutions for n=6:

..2....2....5....2....6....6....6....4....3....4....4....3....2....3....6....1

..3....3....6....1....2....4....6....3....1....1....3....2....0....4....2....2

..2....0...-3....1....3...-2...-1...-1....0...-2....0....2....1....4...-3....2

.-3...-2...-3....1...-6...-3...-5....0...-2...-1...-2...-3....0...-5...-2...-2

.-4...-3...-5...-5...-5...-5...-6...-6...-2...-2...-5...-4...-3...-6...-3...-3

CROSSREFS

Cf. A199847.

Sequence in context: A250605 A020155 A063304 * A116300 A299798 A039377

Adjacent sequences:  A199846 A199847 A199848 * A199850 A199851 A199852

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 11 2011

STATUS

approved

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Last modified March 4 03:53 EST 2021. Contains 341779 sequences. (Running on oeis4.)